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Edge Effect and Near-Surface Buckling in Layered Composite Material with Imperfect Contact Between Layers*

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The three-dimensional linearized theory of stability and the piecewise homogeneous medium model are used to analyze the near-surface buckling of a layered composite material in an inhomogeneous subcritical state associated with the edge effect in the vicinity of the surface load. The case of imperfect contact between layers modeled by a periodic system of interlayer cracks in the form of a mathematical cut with stress-free edges is considered. The effect of the crack size on the stress decay length, critical loads, and buckling modes is studied. A mesh-based method based on a modified variational-difference approach is used for numerical solution of the problem. The computational experiment uses the sequential and parallel algorithms of the Cholesky method to solve the system of linear algebraic equations and the subspace iteration method to solve the generalized eigenvalue problem.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St, Kyiv, 03057, Ukraine

    V. M. Bystrov, V. A. Dekret & V. S. Zelens’kyi

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  1. V. M. Bystrov
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  2. V. A. Dekret
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  3. V. S. Zelens’kyi
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Correspondence to V. M. Bystrov.

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*The studies were sponsored by the budget program “Mathematical modeling of complex interdisciplinary processes and systems on the basis of intelligent supercomputer, grid and cloud technologies” (KPKVK 6541030).

Translated from Prykladna Mekhanika, Vol. 58, No. 6, pp. 84–97, November–December 2022.

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Bystrov, V.M., Dekret, V.A. & Zelens’kyi, V.S. Edge Effect and Near-Surface Buckling in Layered Composite Material with Imperfect Contact Between Layers*. Int Appl Mech 58, 695–705 (2022). https://doi.org/10.1007/s10778-023-01193-2

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